0.8 Use the trapezium rule, with five ordinates, to evaluate [e dx. Correct your answer to three decimal places.

Q: Complete the following statement. If dy/dx is large, then small changes in x result in relatively…

A: The value ofdydx  is large so the small change in x results the large change in ybecause dydx…

Q: Complete the following statement. If dy/dx is small, then smallchanges in x will result in…

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Q: QUESTION 3 (a) Use the trapezoidal rule with 4 ordinates to estimate the value of x + In (2x) dx,…

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Q: (a) Find the approximations T10 and M10 for 21e/x dx. (Round your answers to six decimal places.)…

A: The integral is ∫1221e1xdx. Find T10: Here n=10, then step-size becomes h=2-110=0.1 The points are…

Q: The slope of the secant to the curve is: f (x) = log1o I between x 1 and x 10 %3D O a) 1 Ob) 9 O d)…

A: Topic = Functions As per guidelines , At a time only one question can be answered. please repost for…

Q: FIND DY/DX OF THE FOLLOWING 4. y= cot (1+e)

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Q: (x** ye) dx + zy dy

A: To Solve for the general solution of the following first order differential equations.

Q: Suppose d a e R, where a > 0, a ± 1, what is (a*]? dx

A: Given,            Supose a ∈ R, where a>0, a≠1.To find : ddxax

Q: Use the trapezium rule, with 4 strips, to estimate ? e−x2 dx on [0, 2]. What is the maximum error?…

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Q: d Suppose a E R, where a > 0, a ± 1, what is- - [a*]? dx

A: We need to find ddxaxwhere a>0,a≠1

Q: √ay-x² So Sie So dz dy dx

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Q: solve the following D.E COsy dx + (1+e) siu ydy= %3D

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Q: Use the trapezoidal rule to find A- using the indicated value of n. dx; n = 8 3 3x +3 A, = (Round…

A: We will evaluate the integral by using trapezoidal rule as shown below

Q: 4. Lx? + 2x| dx integralinin sonucu aşağıdakilerden hangisidir? D) 25 B) 20 8 A) 10 E) 8 3 3 3

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Q: The value of e" dx is

A: Let the given integral be y - y = ∫02 exdxy = ex02…

Q: Complete the evaluation of V4 x make sure to express your answer in dx in Example 2; terms of x.

A: Consider the provided integral, ∫x24-x6dx Solve the above integral and write down the answer in term…

Q: Q1) Solve the following ordinary differentiai eyilation: (x + y)dy = dx

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Q: 0.8 Evaluate e* dx using-trapezoidal rule by breaking it into 5 intervals. 0.3

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Q: Evaluate the following: (Note: Final answer should be expressed as a decimal, not in terms of gamma…

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Q: Suppose a E R, where a>0, a + 1. What is dx A a* B xa*-1. In(a) ха xa*- a*. In(a)

A: The objective of the question is derivative of given function.

Q: d Suppose a e R, where a > 0, a + 1, what is [a"]? dx a" In(a) ... A ... e xa"-1 · In(a) ... ...…

A: Here we have to find d[ax]/dx .

Q: A particle travels along the x-axis such that its velocity is given by v(t) = t°.1 + 3 cos (2t) .…

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Q: Suppose a E R, where a > 0, a # 1, what is[a"]? dx a" In(a) © xa²-1

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Q: d Suppose a E R, where a > 0, a + 1, what is [a*]? dx

A: We have to find derivative of ax

Q: у?dx + (ху — 1)dy %3D 0

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Q: Question 40 Evaluate V1+ a?dx dy O 2/2 3 O 2/3 O 112/2 3. O 1/3

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Q: Calculate T, and M, for f dx. (Use decimal notation. Give your answers to five decimal places.)

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Q: 2. Evaluate the following: . /32 dx a. b. /a'e'dt c. [e*se" dx

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Q: We know that y dy? arctan (e*+1) so whats the value for dx 1 a) e2a+2 +1 1 Ob) els+1)* +1 Need This…

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Q: 3. a) Use the trapezium rule with five ordinates to find an approximate value for S dx, giving your…

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Q: 56 Given that: S V56x - x² dx Find the value of m

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Q: 4. Sketch the given function (Unit Step Function) sinh t (0 < t < 2)

A: The given function is sin ht  (0&lt;t&lt;2)

Q: Approximate dx , using the open Newton-Cotes formula 4h Iscx)dx=125(x,)-S(x, )+2f(x,)]. 3

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Q: 3 5. Evaluate I x*dx exactly and find the actual error with the trapezoid approximation. 0.

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Q: 1 If the approximate value of dx is 0.2178 by Trapezoidal rule, then the error is 5x+7 а. 0 b. 0.369…

A: We will find error by finding the difference between exact value found by integration and…

Q: ind the second derivative (y") of the following function step-by-step and simplify the nal results:…

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Q: e*dx by dividir a Simpson's rule i-

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Q: Find the value of 'n' in evaluating " e- dx with 'h' value 0.7 ? None 20 2.0 10

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Q: eт 3 cot (In x) dx 30. х e/4

A: Integrate the function:

Q: d Suppose a E R, where a > 0, a ± 1, what is[a*]? dx

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Q: T = PQ' wh ).Note th E is the lar

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Q: Calculate T, and M6 for º 2 dx. (Use decimal notation. Give your answers to five decimal places.)

A: The value of T6 can be calculated by the trapezoidal rule but for that the values of fx are needed:…

Q: Use the trapezoidal rule to find A- using the indicated value of n. dx n=8 Round the final answer to…

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Q: Calculate dy dx.

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Q: Why is e^x selected as u and not e^2x (to get du /2 = e^x dx in the problem attached?

A: Consider the integral  ∫e2xe2x+3ex+2dx

Q: Consider the following function and express the relationship between a small change in x and the…

A: Given query is to find the differential.

Q: 10. Given that y = at x = 1. e* X + 1 Find, in terms of e, the values of . 최 and dx dx²

A: (10). Given: y=exx+1   As we know that; The Power law; ddxxn=nxn-1 The Quotient rule;…

Q: 1.5 2 2.5 3. 5 f (x) 12. 0355 18. 0022 22. 4523 32. 3452 69.0998

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Q: Solve the following using the method of solving Bernoulli Equations. dy 1. dx +? = x²y?

A: Given:         dydx+yx=x2y2 This is of the form dydx+P(x)y=Q(x)yn…

Q: (1+e*)" dx (d) s (1+e*)2

A: topic - definite integral note : as per bartleby guidelines, we are supposed to answer only first…